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\begin{document}

\title{New upper bounds on the Gaussian Q-function via Jensen's inequality and
integration by parts, and applications in symbol error probability
analysis}



\author[1]{Hang-Dan Zheng}%
\author[2]{Ming-Wei Wu}%
\author[1]{Hang Qiu}%
\author[3]{Pooi-Yuen  Kam}%
\affil[1]{Zhejiang University of Science and Technology}%
\affil[2]{Zhejiang University of Science and Technology School of Information and Electronic Engineering}%
\affil[3]{The Chinese University of Hong Kong - Shenzhen}%


\vspace{-1em}



  
  \date{June 17, 2024}


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\selectlanguage{english}
\begin{abstract}
Using Jensen's inequality and integration by parts, we derive some tight
upper bounds on the Gaussian Q-function. The tightness of the bounds
obtained by Jensen's inequality can be improved by increasing the number
of exponential terms, and one of them is invertible. We obtain a
piece-wise upper bound and show its application in the analysis of the
symbol error probability of various modulation schemes in different
channel models.%
\end{abstract}%



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\textbf{Hosted file}

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